In this paper, stabilized Crank-Nicolson/Adams-Bashforth schemes are presented
for the Allen-Cahn and Cahn-Hilliard equations. It is shown that the proposed
time discretization schemes are either unconditionally energy stable, or conditionally
energy stable under some reasonable stability conditions. Optimal error estimates for
the semi-discrete schemes and fully-discrete schemes will be derived. Numerical experiments
are carried out to demonstrate the theoretical results.